Finite groups of Lie type as Galois groups over rational numbers

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• Gordon Savin, University of Utah
• Thursday 17 March 2011, 16:00-17:00
• Watson Building, Lecture Room A.

If you have a question about this talk, please contact David Craven.

Let l be a rational prime. In a work with Khare and Larsen we proved that the groups of Lie type B_n, C_n and G₂ over the finite field of order l^k appear as Galois groups over rational numbers for infinitely many k. The main tool is l-adic representations attached to automorphic representations. Our approach consists of carefully constructing automorphic representations so that the corresponding l-adic representations give desired Galois groups.

This talk is part of the Algebra seminar series.

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• Algebra seminar
• School of Mathematics events
• Watson Building, Lecture Room A

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